Discrete rational approximation in the L1 and L@@@@ norms using the Simplex Method

Authors:
Edward Hill, Jr.
Affiliations:
-
Venue:
ACM '78 Proceedings of the 1978 annual conference - Volume 2
Year:
1978

Citing 3
Cited 0

Linear programming: methods and applications (5th ed.)

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Abstract

An extended Levenberg-Marquardt method for non-linear curve-fitting in the L2 Norm is used for rational approximations in the L1 and L@@@@ norms using the Simplex Method. The coefficients of the approximation are determined by the Simplex Method so as to minimize the error in the L1 and L@@@@ norms. The iterative method used gives the desired coefficients for rational approximation problems. Finally, some numerical results are presented.